Skyrmions from calorons

Abstract

We derive a one-parameter family of gauged Skyrme models from Yang-Mills theory on $S^1\times {\mathbb{R}}^3$, in which skyrmions are well-approximated by calorons and monopoles. In particular we study the spherically symmetric solutions to the model with two distinct classes of boundary conditions, and compare them to calorons and monopoles. Calorons interpolate between instantons and monopoles in certain limits, and we observe similar behaviour in the constructed gauged Skyrme model in the weak and strong coupling limits. This comparison of calorons, monopoles, and skyrmions may be a way to further understand the apparent relationships between skyrmions and monopoles on ${\mathbb{R}}^3$.

arXiv commentReferences added & minor corrections. Matches journal version. 39 pages, 12 figures

References in corpus (36)

• Low energy hadron physics in holographic QCD
• Periodic Instantons with non-trivial Holonomy
• Rational Maps, Monopoles and Skyrmions
• SU(2) Calorons and Magnetic Monopoles
• Monopole Constituents inside SU(n) Calorons
• Symmetric Skyrmions
• Exact T-duality between Calorons and Taub-NUT spaces
• Skyrmions, instantons and holography
• Skyrmions, Fullerenes and Rational Maps
• Skyrmions in a truncated BPS theory
• Solitonic fullerene structures in light atomic nuclei
• Quark Confinement: The Hard Problem of Hadron Physics
• Skyrmions up to Baryon Number 108
• Static solutions in the U(1) gauged Skyrme model
• Integrability and chemical potential in the (3+1)-dimensional Skyrme model
• Constituent monopoles through the eyes of fermion zero-modes
• SO(3) Gauged Soliton of an O(4) Sigma Model on $R_3$
• Skyrme Crystal from a Twisted Instanton on a Four-Torus
• Symmetric Instantons and Skyrme Fields
• Skyrmions in models with pions and rho mesons
• Chains of Skyrmions
• Skyrmed Monopoles
• Symmetric Calorons
• Instantons and the Buckyball
• Bounding Gauged Skyrmion Masses
• Large scale and large period limits of symmetric calorons
• Monopole-Antimonopole Solutions of the Skyrmed SU(2) Yang-Mills-Higgs Model
• Erratum : Existence of 3D Skyrmions. Complete version
• Calorons, Nahm's equations on S^1 and bundles over P^1xP^1
• Monopoles and dyons in SO(3) gauged Skyrme models
• Symmetric calorons and the rotation map
• The general caloron correspondence
• Periodic instantons and the loop group
• A Review of Instanton Quarks and Confinement
• Magnetically Charged Calorons with Non-Trivial Holonomy
• Chern-Simons deformation of vortices on compact domains

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